Spectral approximation and index for convolution type operators on cones on \(L^{p}(\mathbb {R}^2)\)

DOI10.1007/S00020-009-1726-6zbMath1183.45005OpenAlexW1966566906MaRDI QIDQ1049593

Bernd Silbermann, Helena Mascarenhas

Publication date: 13 January 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-009-1726-6

zbMATH Keywords

indexsingular valuesconesspectral approximationsplitting propertyconvolution type operatorapproximate sequenceFredholm sequence

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (45P05) Linear operator approximation theory (47A58) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Eigenvalue problems for integral equations (45C05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Local spectral properties of linear operators (47A11)

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